Math Maggie (Math 7/8)
September1
Dear Math Maggie,
My friend Carl G. says it is possible to have the sum of two rational numbers be less than both rational numbers? How can this be if we are adding?! Please prove one of us correct by providing evidence one way or the other.
Sincerely,
Adding to my Confusion
the only way this will work is if both numbers are negative for example: -5+(-3)= -8 and negative eight is less than -5 and -3.
Because if u have improper and proper fractions or a mixed number than this is how u got this answer.
From- Joshua McCaskey
No you can’t because ratinal numbers when added equal a higher number because rational numbers can’t be negitive. 😀
carl g. is right because by divideing it will make the sum of both ratios smaller than the actual rational numbers
i do not think it is possible to have two rational numbers and have the sum be smaller than both. i just dont think it would be possible
thats not posable because either way the number would be bigger.
No, I do not believe it is possible. Whenever you add a number the sum will always be larger than both numbers. I sat at my computer for like 20 minutes trying to think of ways for it to be possible, couldn’t find a problem with the sum less than both of the rational numbers:)
Yes, it is possible. Your friend Carl G. is right because if you add -2 plus -3, it equals -5, which is less than both rational numbers.
Yes because if u use the distributive property u can can the less assignment
if you add two negative numbers you get a smaller number. for example -4+-7=-11
If you use (-6)+(-3) it will equal (-9), which is less than (-6) and (-3).
Carl.G is correct because lets say that -1+1=0 or -2+2=0,so your answer would be less than both numbers since the absolute value of -2 is 2. so 0 is less than both rational numbers.
no because in rastional numbers we cant do that
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Evidence is that you can have -2 + -5 = -7 which is less than both numbers
Well let me tell you he is wrong!
-1, 000 + 979 = -21
Carl G. is wrong if you are adding because even if you use negative numbers you still cant get lower than one of your original rational numbers that you were adding with.
yes Carl is right because if you add -7 + (-4) that would equal -11.
-11 is less than -7 and also less than -4. 🙂
Aaron Nadon it is possible if one of the numbers is 0
it is possible because -1+-1=-2 and -2 is less than 1-.
If you were adding two negative numbers such as -5 and -12 the answer would be -17 and -17 is less than -5 and -12. So it is possible if we add two negative together. 🙂
because it cant be higher than 10.Becase its written completely different.
No. There needs to be a higher number for it to work. so it is impossible to have them both lower.
Yes, if you are adding two negative numbers. For example, -3+(-5)=-8 So negative eight is less than the numbers.
if you have two negative rational numbers added together the sum will be less than the two rational numbers added together.
-2 + -3 = -5
you can because same change change would make 2 negative numbers if the first number is negative witch added would give you a bigger negative number ex/ -9 + -21=-30
you can not have two rational numbers and get a sum smaller than both of them. For example .2-(-.3)equals -.1. Another example 8-(-16 eaquals -8. That is how i can prove their can not be two rational numbers and the sum is smaller
Well, if you add two rational numbers together and they are negative it can be less but not positive. Carl is right because if you add two negative numbers together it will be less. Example: 8 plus 8 equals 16, -8 plus -8 equals -16
If you add two negitive numbers it would be less that the two rational numbers but if you add two positive numbers they be bigger.
You have to add a negative plus another negative you will get a negative number because it will equal a negative so for example
(-24)+(-24)=-48
Yes because if you add -2+ -3 which are both less than rational numbers, so your friend Carl G. is right
Both It is Possible If Both Numbers Are Negative Like -8 + -6 = -14 which Is Less than both Numbers.
both is possible because if you add two numbers and one number is a negative and larger than the positive number then it will come out as a negative number.like (-4)+ (+3)=-1
your friend is correct because -2 + (-3) is less than a rational number so that means it is possible
it is possible because when you add negative numbers you technically subtract
example:(-50)+(-50)=-100
An example:(-75)+(-75)=-150 and thats how.
you can get a sum smaller than both numbers because sum means multiply and anything times zero is zero:]
Thanks Ckrysteona! Are you sure that sum means multiply?
The sum means addition, so Carl G. is wrong.